66162242016 has 192 divisors, whose sum is σ = 218755756800. Its totient is φ = 19286097408.

The previous prime is 66162241987. The next prime is 66162242039. The reversal of 66162242016 is 61024226166.

66162242016 is a `hidden beast` number, since 6 + 6 + 1 + 622 + 4 + 20 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58395 + ... + 368421.

It is an arithmetic number, because the mean of its divisors is an integer number (1139352900).

Almost surely, 2^66162242016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66162242016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109377878400).

66162242016 is an abundant number, since it is smaller than the sum of its proper divisors (152593514784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66162242016 is a wasteful number, since it uses less digits than its factorization.

66162242016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310078 (or 310064 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 66162242016 in words is "sixty-six billion, one hundred sixty-two million, two hundred forty-two thousand, sixteen".